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Finding the Fourth Proportional to 299,049.80, 412,697.94 and 171,750.92

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Solution

The fourth proportional to 299,049.80, 412,697.94 and 171,750.92 is: 237,021.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,049.80 : 412,697.94 = 171,750.92 : x
  2. Step 2: Convert to fraction form
    299,049.80/412,697.94 = 171,750.92/x
  3. Step 3: Cross multiply
    299,049.80x = 412,697.94 × 171,750.92
  4. Step 4: Simplify right side
    299,049.80x = 70,881,250,877.10
  5. Step 5: Solve for x
    x = 70,881,250,877.10/299,049.80
  6. Step 6: Final answer
    x = 237,021.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.